6x^2+y^2+6y=0

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Solution for 6x^2+y^2+6y=0 equation: 


Simplifying
6x2 + y2 + 6y = 0

Reorder the terms:
6x2 + 6y + y2 = 0

Solving
6x2 + 6y + y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.
6x2 + 6y + -6y + y2 = 0 + -6y

Combine like terms: 6y + -6y = 0
6x2 + 0 + y2 = 0 + -6y
6x2 + y2 = 0 + -6y
Remove the zero:
6x2 + y2 = -6y

Add '-1y2' to each side of the equation.
6x2 + y2 + -1y2 = -6y + -1y2

Combine like terms: y2 + -1y2 = 0
6x2 + 0 = -6y + -1y2
6x2 = -6y + -1y2

Divide each side by '6'.
x2 = -1y + -0.1666666667y2

Simplifying
x2 = -1y + -0.1666666667y2

Reorder the terms:
x2 + y + 0.1666666667y2 = -1y + y + -0.1666666667y2 + 0.1666666667y2

Combine like terms: -1y + y = 0
x2 + y + 0.1666666667y2 = 0 + -0.1666666667y2 + 0.1666666667y2
x2 + y + 0.1666666667y2 = -0.1666666667y2 + 0.1666666667y2

Combine like terms: -0.1666666667y2 + 0.1666666667y2 = 0.0000000000
x2 + y + 0.1666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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